Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
720 conjugacy classes of subgroups; only the 156 normal subgroups are shown.
This group has 720 conjugacy classes of subgroups — too many to draw. Only its 156 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 4. #11748417 | C2 | semidirect |
| 5. #11745975 | C2 | semidirect |
| 11. #91825 | C4 | semidirect |
| 36. C2×Dic30 | C2×C4 | semidirect |
| 40. C4×Dic15 | C2×C4 | semidirect |
| 258. C3×C5 | #1885 | semidirect |
| 303. C5 | #70069 | semidirect |
| 317. C3 | #10602442 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91825 | 2 |
| C5×#5798 | 2 |
| C2×C3×#3965 | 2 |
| #11748417 | 2 |
| #11745975 | 2 |
| #10602442 | 3 |
| #70069 | 5 |